I'm new to the Math StackExchange, but I am puzzled by the downvotes on this question:
Am I properly simplifying this geometric progression?
I tried to be as clear as possible, to show that I had put some effort into finding a solution, and to be as specific as I knew how to. I've received some number of downvotes without comment, and so I do not know what I might have done wrong. Therefore, I cannot assume I will not make the same mistake again.
\timesor (often better)
\cdotto make everything look more slick. It would be IMHO ridiculous to down-vote on that point alone, but that's about my best guess. $\endgroup$